Discovery of Benzene Isolated in 1825 by Michael Faraday who determined C: H ratio to be 1: 1. Synthesized in 1834 by Eilhard Mitscherlich who determined molecular formula to be C6H6
Spectroscopy is an analytical technique which helps determine structure. It destroys little or no sample. The amount of light absorbed by the sample is measured as wavelength is varied
Classification Primary: carbon with -OH is bonded to one other carbon. Secondary: carbon with-OH is bonded to two other carbons. · Tertiary: carbon with-OH is bonded to three other carbons. Aromatic(phenol): -OH is bonded to a benzene ring
Reactivity of C=C C—C Electrons in pi bond are loosely held Electrophiles are attracted to the pi electrons. · Carbocation intermediate forms. Nucleophile adds to the carbocation. · Net result is addition to the double bond
Classes of Halides Alkyl: Halogen, X, is directly bonded to sp3 carbon. Vinyl: X is bonded to sp2 carbon of alkene. Aryl: is bonded to sp2 carbon on benzene ring. Examples:
To determine reaction''s mechanism, look at: Equilibrium constant Free energy change Enthalpy Entropy Bond dissociation energy Kinetics >Activation energy
Wave Properties of Electrons Standing wave vibrates in fixed location. Wave function, w, mathematical description of size, shape, orientation Amplitude may be positive or negative Node: amplitude is zero
Marciano Siniscalchi Game Theory (Economics 514) Fall 1999 Logistics We(provisionally) meet on Tuesdays and Thursdays 10: 40a-12: 10p, in Bendheim 317. I will create a mailing list for the course. Therefore please send me email at your earliest convenience so I can add you to the list. You do not want to miss important announcements, do you?
Eco514 Game Theory Problem Set 4: Due Tuesday, November 9 1. Machines Extend Proposition 151.1 (the Perfect Folk Theorem with discounting) to arbitrary mixtures of payoff profiles of the original game G =(, (A Ui) ) Allow for both rational and real weights on the set of profiles {u(a): a E A}; note that the statement of the result will involve an approximation of the payoff profile
